[ANGLÈS] Tractography is a promising modeling technique to satisfy the increasing need for tracing the white matter pathways within the brain in a non invasive way. Therefore, better ways for doing tractography are currently under development. In concrete, global tractography is leading among local methods because the entire pathway is estimated at once, rather than step-by-step. In this work an analysis of a new method for doing global tractography is presented. This method is based on the idea presented in “Global fiber reconstruction becomes practical (by Reisert et al.)" that uses Simulated Annealing (SA), an energy minimization technique that starts with a high temperature and decreases it slowly until the final optimal configuration is found. It is also based on the idea presented in “A Bayesian framework for global tractography (de Jbabdi et al.)" of using explicit parametrization of the connection between brain regions. More specifically it uses Catmull-Rom (C-R) splines to join the two gray matter regions. Different experiments are reported with the aim of evaluating the goodness of the method and improving its quality. First, C-R curve is in fact a good option for the parametrized curve needed in the algorithm. Second, both moving the knots randomly and following a gaussian distribution around the current configuration enable to reach the steady state after a reasonable number of iterations. Third, choosing randomly the fiber to be modified in the following iteration is better than choosing always the fiber accountable for the biggest part of the total cost. Fourth, the value taken by the different parameters of the method should depend on the input data. Then, when changing the knots of a fiber in each iteration the placement of the knots can and should be restricted in the sense that we only want to take into account realistic configurations. Before starting the SA algorithm we make sure that the new configuration lies on the white matter and the angle between knots satisfies some requirements. Finally, the introduction of different penalizing terms (length and curvature) in the calculation of the final cost has been studied. Even thought the weight of these penalizing terms still needs to be decided, making a correct use of these penalizations can help reaching the steady state faster. The different experimental results presented here confirm that the method still needs to be improved in order to fit the requirements to be applied to the real data. However, after improving the method, the final result could be a big step in tractography.